Solve (8a^4b^2):(2a^3b)quad=

$$( 8 a ^ { 4 } b ^ { 2 } ) : ( 2 a ^ { 3 } b ) \quad =$$

Evaluate

$$4ab$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{8^{1}a^{4}b^{2}}{2^{1}a^{3}b^{1}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{8^{1}}{2^{1}}a^{4-3}b^{2-1}$$

Subtract 3 from 4.

$$\frac{8^{1}}{2^{1}}a^{1}b^{2-1}$$

Subtract 1 from 2.

$$\frac{8^{1}}{2^{1}}ab^{1}$$

Divide 8 by 2.

$$4ab$$

Differentiate w.r.t. b

$$4a$$